This book provides a clear and accessible introduction to ring theory for undergraduate students. Aligned with standard curricula, it simplifies abstract concepts through structured explanations, practical examples, and real-world applications. Ideal for both students and instructors, it serves as a valuable resource for mastering fundamental concepts in ring theory with ease. The text begins with an introduction to rings and goes on to cover subrings, integral domains, ideals, and factor rings. It also discusses ring homomorphisms and polynomial rings. The book concludes with topics such as polynomial factorization and divisibility in integral domains. Each chapter is supplemented with solved examples to foster a deeper understanding of the subject. A set of practice questions is also provided to sharpen problem-solving skills.
Muu info
A comprehensive guide with clear explanations, practical examples, and curriculum-aligned content for undergraduate students.
Preface; Preliminaries;
Chapter
1. Introduction to Rings;
Chapter
2.
Subrings;
Chapter
3. Integral Domains;
Chapter
4. Ideals;
Chapter
5. Ring
Homomorphisms;
Chapter
6. Polynomial Rings;
Chapter
7. Factorization of
Polynomials
Chapter
8. Divisibility in Integral Domains; Index.
Ritika Chopra is currently working as Assistant Professor, Department of Mathematics, Shaheed Rajguru College of Applied Sciences for Women, University of Delhi. Ankit Gupta is currently working as Assistant Professor, Department of Mathematics, Bharati College, University of Delhi.
